The neutrino-nucleon cross section at UHE and its astrophysical implications

Abstract

We present a quantitative study of the $\nu N$ cross section in the neutrino energy range $10^4<E_{\nu }<10^{14}$ GeV within two transversal QCD approaches: NLO DGLAP evolution using different sets of PDFs and BK small-$x$ evolution with running coupling and kinematical corrections. We show that the non-linear effects embodied in the BK equation yield a slower raise in the cross section for $E_{\nu }\gtrsim 10^8$ GeV than the usual DGLAP based calculation. Finally, we translate this theoretical uncertainty into upper bounds for the ultra-high-energy neutrino flux for different experiments.

17 pages; 5 figures. References and comments added

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Cited by in corpus (16)

• Extracting the Energy-Dependent Neutrino-Nucleon Cross Section Above 10 TeV Using IceCube Showers
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Neutrino Telescopes as QCD Microscopes
• Precision determination of the small-$x$ gluon from charm production at LHCb
• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Complete predictions for high-energy neutrino propagation in matter
• R-parity Violating Supersymmetric Explanation of the Anomalous Events at ANITA
• Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence
• The ultra-high-energy neutrino-nucleon cross section: measurement forecasts for an era of cosmic EeV-neutrino discovery
• Precise predictions for multi-$\mathrm{TeV}$ and $\mathrm{PeV}$ energy neutrino scattering rates
• Nuclear effects in high-energy neutrino interactions
• Tau energy loss and ultrahigh energy skimming tau neutrinos
• Tau Appearance from High-Energy Neutrino Interactions
• Investigating the effects of the QCD dynamics in the neutrino absorption by the Earth's interior at ultrahigh energies
• Implications of the QCD dynamics and a Super-Glashow astrophysical neutrino flux on the description of ultrahigh energy neutrino data
• Resummation of double collinear logs in BK evolution versus HERA data